Students begin with a review of basic trigonometry then progress to advanced topics including functions, identities, and trigonometric equations. Analytical geometry topics include a logical approach to the study of lines, conics, quadric surfaces, polar coordinates, and parametric equations. Colorful graphs in one, two, and three dimensions illustrate the concepts and provide a frame of reference for discussion, while helpful tips and example problems show step-by-step solution to help students understand how to solve problems. Designed to be used in grade 12.